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Finding the Fourth Proportional to 7,538.83, 11,293.12 and 3,593.90

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Solution

The fourth proportional to 7,538.83, 11,293.12 and 3,593.90 is: 5,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.83 : 11,293.12 = 3,593.90 : x
  2. Step 2: Convert to fraction form
    7,538.83/11,293.12 = 3,593.90/x
  3. Step 3: Cross multiply
    7,538.83x = 11,293.12 × 3,593.90
  4. Step 4: Simplify right side
    7,538.83x = 40,586,363.22
  5. Step 5: Solve for x
    x = 40,586,363.22/7,538.83
  6. Step 6: Final answer
    x = 5,383.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.